Snoopy Tennis lets the player take control of Charles Schultz's famous Peanuts Gang and compete in a series of tennis games similar to Mario Tennis. The player can initially choose from eight characters to play, each with their unique strengths and weaknesses.
The player can unlock an additional four characters by winning against certain opponents and various modes. There are four different courts to choose from, including a forest location, the beach, the schoolyard, and Charlie Brown's backyard, with an additional four locations unlocked during gameplay. The game features six different single-player game modes, including Normal, Power, Points Win, Sudden Win, Squash, and Championship.
The Championship mode allows the player to take on several different characters on different courts in order to win the Peanuts' Tennis Championship and unlock other characters under different difficulty settings. The game also features a two-player mode using a Game Boy Link and supports three languages: English, French, and Spanish.